Gravity on the Moon is about 1/6th that on the Earth. A pole-vaulter 2 metres tall can clear a 5 metres pole on the Earth. How high a pole could he clear on the Moon?
Whirl a conker around in a horizontal circle on a piece of string. What is the smallest angular speed with which it can whirl?
In this short problem we investigate the tensions and compressions in a framework made from springs and ropes.
A cannon ball is fired vertically upwards into the air. How fast would it have to be fired to take 1 second to land? How fast would it have to be fired to take 10, 100, 1,000 or 1,000,000 seconds to land? What would be the highest point of the ball in each case? (Assume that gravity is a constant $10ms^{-2}$ in your calculations)
Extension problem: why not try the extension question Escape From Planet Earth ?